4577823972225 has 405 divisors, whose sum is σ = 9944414660297. Its totient is φ = 2012921568000.

The previous prime is 4577823972179. The next prime is 4577823972277. The reversal of 4577823972225 is 5222793287754.

It is a happy number.

The square root of 4577823972225 is 2139585.

It is a perfect power (a square), and thus also a powerful number.

4577823972225 is a `hidden beast` number, since 4 + 577 + 8 + 2 + 39 + 7 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1926879910641 + 2650944061584 = 1388121^2 + 1628172^2 .

It is not a de Polignac number, because 4577823972225 - 2¹³ = 4577823964033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 64476393940 + ... + 64476394010.

Almost surely, 2^{4577823972225} is an apocalyptic number.

4577823972225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4577823972225 is the 2139585-th square number.

4577823972225 is the 1069793-rd centered octagonal number.

It is an amenable number.

4577823972225 is an abundant number, since it is smaller than the sum of its proper divisors (5366590688072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4577823972225 is an frugal number, since it uses more digits than its factorization.

4577823972225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 127 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 4577823972225 in words is "four trillion, five hundred seventy-seven billion, eight hundred twenty-three million, nine hundred seventy-two thousand, two hundred twenty-five".